Question

An angle is 30° less than twice its complement. Find the angles.​

Answer 1

Answer:

Complimentary Angle is composed of 2 angles whose sum is 90°.

Keeping this in mind, let:

x = 2nd ∡°

y = 1st ∡°

x+y=90x+y=90

y=2x-30y=2x−30

by substitution:

x+2x-30=90x+2x−30=90

\begin{gathered}\\\\3x=60\\\\x=20\end{gathered}

3x=60

x=20

To find the measurement of the compliment:

20+x=9020+x=90

x=70x=70